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The busy beaver is a well-known specific example of a non-computablefunction. Whilst many aspect of this problem have been investigated, it is notalways easy to find thorough and convincing evidence for the claims made aboutthe maximality of particular machines, and the phenomenal size of some of thenumbers involved means that it is not obvious that the problem can be feasiblyaddressed at all. In this paper we address both of these issues. We discuss aframework in which the busy beaver problem and similar problems may beaddressed, and the appropriate processes for providing evidence of claims made.We also show how a simple heuristic, which we call the observant otter, can beused to evaluate machines with an extremely large number of execution stepsrequired to terminate. We also show empirical results for an implementation ofthis heuristic which show how this heuristic is effective for all known`monster' machines.

Busy Beaver Machines and the Observant Otter Heuristic (or How to Tame Dreadful Dragons)